Rupert Murdoch is meeting the family of murdered Milly Dowler over claims his newspaper hacked her mobile phone.

The meeting is taking place in a central London hotel. The Dowlers are expected to issue a statement afterward.

It caps the end of a remarkable fortnight for the Walton family, who played a role in the collapse of the News of the World and a tidal wave of public disgust at phone hacking.

The revelation last Monday that Milly's phone was hacked was followed by evidence that the phone messages of 7/7 victims may have been also been listened to.

Earlier today Murdoch accepted the resignation of News International chief executive Rebekah Brooks, who edited the News of the World at the time murdered Milly's phone was hacked in 2002.

Sally, Bob and their daughter Gemma had said Mrs Brooks should "take responsibility and do the honourable thing", according to their solicitor.

The family had believed the 13-year-old may have been alive after her disappearance because they discovered messages were being listened to.

But it was a private detective hired by the News of the World.

Milly's body was later discovered in woodland and serial killer Levi Bellfield convicted of her abduction and murder after a trial at the Old Bailey last month.

The Dowlers met deputy prime minister Nick Clegg on Monday, who said: "It's innocent families like them who have paid a very heavy price for truly grotesque journalist practices that are simply beneath contempt."

On Tuesday they urged Labour leader Ed Miliband to be fearless and stand up to the press.

Their solicitor Mark Lewis said: "What they said to Ed Miliband was that they have had to go through having their dirty linen washed in public, they have had to go through this awful experience, and now it is time for politicians to have to go through the same experience to find out the truth of the position in respect to press intrusion into their lives and how it had been fermented by the relationship between the press and politicians."

Gemma Dowler described watching her mother's cross-examination in the Levi Bellfield murder trial as the "worst day of her life" worse than when her sister went missing in 2002.

Prime Minister David Cameron agreed to a full public inquiry after meeting the family in Downing Street on Wednesday.

Mr Lewis said afterwards: “The Dowler family wanted to have their voices listened to on behalf of them and Milly and all the other victims of unlawful activity by the press."

Announcing her resignation Mrs Brooks, said in a statement: "As chief executive of the company, I feel a deep sense of responsibility for the people we have hurt and I want to reiterate how sorry I am for what we now know to have taken place."